Atkin-Lehner |
2- 5+ 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
50050bt |
Isogeny class |
Conductor |
50050 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-4.6873890001845E+19 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 11+ 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1223380,-615941503] |
[a1,a2,a3,a4,a6] |
j |
-12959477208091719369/2999928960118090 |
j-invariant |
L |
4.5379120670224 |
L(r)(E,1)/r! |
Ω |
0.070904876050696 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10010a4 |
Quadratic twists by: 5 |